c2. Decreasing on interval(s): $$ (-10,-4) $$ c3. Constant on interval(s): d1. Coordinates of local maxima (separated by commas): d2. Coordinates of local minima (separated by commas): e. Symmetry: Neither Even f1. Find $$ f(8) $$ : f2. Find $$ x $$ when $$ f(x)=3 $$ : 3. $$ f(1) $$ Positive Negative h. Interval where $$ f(x)

Question

c2. Decreasing on interval(s): $$ (-10,-4) $$ c3. Constant on interval(s): d1. Coordinates of local maxima (separated by commas): d2. Coordinates of local minima (separated by commas): e. Symmetry: Neither Even f1. Find $$ f(8) $$ : f2. Find $$ x $$ when $$ f(x)=3 $$ : 3. $$ f(1) $$ Positive Negative h. Interval where $$ f(x)<0 $$ :

UpStudy AI · Accepted Answer

Hello! It looks like you're working on analyzing a function $$ f(x) $$ and have listed several parts (c2, c3, d1, d2, etc.) that you need help with. To provide accurate assistance, I'll need more information about the function $$ f(x) $$ you're examining. Specifically, details such as its equation, graph, or key characteristics would be essential.

However, I can guide you on how to approach each part generally:

### c2. Decreasing on interval(s)
- **Given:** Decreasing on $$ (-10, -4) $$
- **Explanation:** This means that for all $$ x $$ in the interval $$ (-10, -4) $$, as $$ x $$ increases, $$ f(x) $$ decreases.

### c3. Constant on interval(s)
- **Task:** Identify intervals where $$ f(x) $$ is constant.
- **How to Find:** Look for sections of the graph where there's a horizontal line, indicating no change in $$ f(x) $$ as $$ x $$ varies.

### d1. Coordinates of Local Maxima
- **Task:** Find points where $$ f(x) $$ reaches a peak.
- **How to Find:** Identify points on the graph where $$ f(x) $$ changes from increasing to decreasing.

### d2. Coordinates of Local Minima
- **Task:** Find points where $$ f(x) $$ reaches a trough.
- **How to Find:** Identify points on the graph where $$ f(x) $$ changes from decreasing to increasing.

### e. Symmetry
- **Options:** Neither, Even, Odd
- **How to Determine:**
  - **Even Function:** Symmetrical about the y-axis ($$ f(-x) = f(x) $$).
  - **Odd Function:** Symmetrical about the origin ($$ f(-x) = -f(x) $$).
  - **Neither:** Does not satisfy either condition.

### f1. Find $$ f(8) $$
- **Task:** Calculate the value of the function at $$ x = 8 $$.
- **How to Find:** Substitute $$ x = 8 $$ into the function $$ f(x) $$.

### f2. Find $$ x $$ when $$ f(x) = 3 $$
- **Task:** Solve for $$ x $$ such that $$ f(x) = 3 $$.
- **How to Find:** Set the function equal to 3 and solve for $$ x $$.

### 3. $$ f(1) $$
- **Positive/Negative:** Determine whether $$ f(1) $$ is positive or negative.
- **How to Find:** Calculate $$ f(1) $$ and check its sign.

### h. Interval where $$ f(x) < 0 $$
- **Task:** Identify all intervals where the function's value is below zero.
- **How to Find:** Look for regions on the graph where $$ f(x) $$ is below the x-axis.

---

**Please provide the function $$ f(x) $$ or a graph of it, and I'll be happy to help you work through each part in detail!**
To analyze the function $$ f(x) $$, please provide its equation or a graph so I can help determine the intervals where it's decreasing, constant, find local maxima and minima, check for symmetry, and solve for specific values.

Solución de tutoría real

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Calculus Questions